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Finding the Fourth Proportional to 5,570.52, 7,687.30 and 3,086.52

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Solution

The fourth proportional to 5,570.52, 7,687.30 and 3,086.52 is: 4,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.52 : 7,687.30 = 3,086.52 : x
  2. Step 2: Convert to fraction form
    5,570.52/7,687.30 = 3,086.52/x
  3. Step 3: Cross multiply
    5,570.52x = 7,687.30 × 3,086.52
  4. Step 4: Simplify right side
    5,570.52x = 23,727,005.20
  5. Step 5: Solve for x
    x = 23,727,005.20/5,570.52
  6. Step 6: Final answer
    x = 4,259.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.